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OG16 OG17 OG18 OG19 OG20 OG2022
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Do at least 60 percent of the students in Pat's class walk to school?(1) At least 60 percent of the female students in Pat's class walk to school.(2) The number of students in Pat's class who walk to school is twice the number of students who do not walk to school.
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OG16 OG17 OG18 OG19 OG20 OG2022
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If x and y are positive integers, what is the value of $$\sqrt{x}+\sqrt{y}$$ ?(1) x + y = 15(2) $$\sqrt{xy}= 6$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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If x = 2t and $${y}=\frac{t}{3}$$, what is the value of $${x}^{2}-{y}^{2}$$?(1) $${t}^{2}$$ − 3 = 6(2) $${t}^{3}$$ = −27
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OG16 OG17 OG18 OG19 OG20 OG2022
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A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000.00?(1) During the month, more units of P than units of Q were sold.(2) During the month, at least 100 units of Q were sold.
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OG16 OG17 OG18 OG19 OG20 OG2022
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A conveyor belt moves bottles at a constant speed of 120 centimeters per second. If the conveyor belt moves a bottle from a loading dock to an unloading dock, is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)(1) It takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock.(2) It takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.
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OG16 OG17 OG18 OG19 OG20 OG2022
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A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?(1) x = 600(2) 100 < y < 200
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OG16 OG17 OG18 OG19 OG20 OG2022
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If $${2}^{x+y}$$ = $${4}^{8}$$, what is the value of y?(1) $${x}^{2}$$ = 81(2) x − y = 2
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OG16 OG17 OG18 OG19 OG20 OG2022
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y = ax - 5y = x + 6y = 3x + bIn the xy-plane, the straight-line graphs of the three equations above each contain the point (p,r). If a and b are constants, what is the value of b?(1) a = 2(2) r = 17
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OG16 OG17 OG18 OG19 OG20 OG2022
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 In the figure above, PQR and STU are identical equilateral triangles, and PQ = 6. What is the perimeter of polygon PQWTUVR?(1) Triangle SWV has perimeter 9.(2) VW has length 3.5.
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OG17 OG18 OG19 OG20 OG2022
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 In the figure above, point D is on $$\overline {AC}$$. What is the degree measure of $$\angle BAC$$?（1）The measure of $$\angle BDC$$ is 60°.（2）The degree measure of $$\angle BAC$$ is less than the degree measure of $$\angle BDC$$.
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OG17 OG18 OG19 OG20 OG2022
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What is the value of t ?(1) s + t = 6 + s(2) $${t}^{3}$$ = 216
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OG17 OG18 OG19 OG20 OG2022
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George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B ?(1) 40 of the B books are fiction and the rest are nonfiction.(2) 60 of the B books are hardcovers and the rest are paperbacks.
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OG17 OG18 OG19 OG20 OG2022
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In each of the last five years, Company K donated p percent of its annual profits to a certain scholarship fund. Did Company K donate more than $10,000 to the scholarship fund last year?(1) Two years ago, Company K had annual profits of $3 million and donated $15,000 to the scholarship fund.(2) Last year, Company K had annual profits of $2.5 million.
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OG17 OG18 OG19 OG20 OG2022
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In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?(1) The maximum width of the truck is 2.4 m.(2) The maximum height of the truck is 4 m.
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OG17 OG18 OG19 OG20 OG2022
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If $$y \neq 2xz$$, what is the value of $$\frac{2xz+yz}{2xz-y}$$?(1) 2x + y = 3(2) z = 2
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PREP07 Test 1
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Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, 2/3 dislike lima beans; and of those who dislike lima beans, 3/5 also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?(1) 120 students eat in the cafeteria(2) 40 of the students like lima beans.
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PREP07 Test 1
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Six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. Of the six countries, if Country A sent the second greatest number of representatives, did Country A send at least 10 representatives?(1) One of the six countries sent 41 representatives to the congress.(2) Country A sent fewer than 12 representatives to the congress.
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PREP07 Test 2
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The sale price of a certain jacket was 15 percent less than its original price, and the sale price of a certain shirt was 10 percent less than its original price. How much greater was the original price of the jacket than the original price of the shirt?(1) The sale price of the jacket was $83 greater than the sale price of the shirt.(2) The original price of the jacket was $140.
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PREP07 Test 2
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Sets A, B, and C have some elements in common. If 16 elements are in both A and B, 17 elements are in both A and C, and 18 elements are in both B and C, how many elements do all three of the sets A, B, and C have in common?
(1) Of the 16 elements that are in both A and B, 9 elements are also in C.(2) A has 25 elements, B has 30 elements, and C has 35 elements.
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PREP07 Test 2
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Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T ?(1) The median of the numbers in set S is 0. (2) The sum of the numbers in set S is equal to the sum of the numbers in set T.
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